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<li class="navelem"><a class="el" href="namespace_s_p_h.html">SPH</a></li><li class="navelem"><b>thin_structure_dynamics</b></li><li class="navelem"><a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_shell_stress_relaxation_first_half.html">ShellStressRelaxationFirstHalf</a></li>  </ul>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<div class="title">SPH::thin_structure_dynamics::ShellStressRelaxationFirstHalf Class Reference</div>  </div>
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<p>computing stress relaxation process by verlet time stepping This is the first step  
 <a href="class_s_p_h_1_1thin__structure__dynamics_1_1_shell_stress_relaxation_first_half.html#details">More...</a></p>

<p><code>#include &lt;<a class="el" href="thin__structure__dynamics_8h_source.html">thin_structure_dynamics.h</a>&gt;</code></p>

<p>Inherits <a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_base_shell_relaxation.html">SPH::thin_structure_dynamics::BaseShellRelaxation</a>.</p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a7e2d061301a49751cac8e7a05848adb2"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_shell_stress_relaxation_first_half.html#a7e2d061301a49751cac8e7a05848adb2">ShellStressRelaxationFirstHalf</a> (<a class="el" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a> *body_inner_relation, <a class="el" href="classint.html">int</a> number_of_gaussian_points=3)</td></tr>
<tr class="separator:a7e2d061301a49751cac8e7a05848adb2"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="inherit_header pub_methods_class_s_p_h_1_1thin__structure__dynamics_1_1_base_shell_relaxation"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1thin__structure__dynamics_1_1_base_shell_relaxation')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_base_shell_relaxation.html">SPH::thin_structure_dynamics::BaseShellRelaxation</a></td></tr>
<tr class="memitem:ac2803702070b5cec2a88d3977adc85aa inherit pub_methods_class_s_p_h_1_1thin__structure__dynamics_1_1_base_shell_relaxation"><td class="memItemLeft" align="right" valign="top"><a id="ac2803702070b5cec2a88d3977adc85aa"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>BaseShellRelaxation</b> (<a class="el" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a> *body_inner_relation)</td></tr>
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<tr class="inherit_header pub_methods_class_s_p_h_1_1_particle_dynamics1_level"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1_particle_dynamics1_level')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1_particle_dynamics1_level.html">SPH::ParticleDynamics1Level</a></td></tr>
<tr class="memitem:ae403402b167057e8d24856eaf36e09c4 inherit pub_methods_class_s_p_h_1_1_particle_dynamics1_level"><td class="memItemLeft" align="right" valign="top"><a id="ae403402b167057e8d24856eaf36e09c4"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>ParticleDynamics1Level</b> (<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *sph_body)</td></tr>
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<tr class="memitem:ad26df033ea045dcc268756e821d588c7 inherit pub_methods_class_s_p_h_1_1_particle_dynamics1_level"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_s_p_h_1_1_particle_dynamics1_level.html#ad26df033ea045dcc268756e821d588c7">exec</a> (Real dt=0.0) override</td></tr>
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virtual void&#160;</td><td class="memItemRight" valign="bottom"><b>parallel_exec</b> (Real dt=0.0) override</td></tr>
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<tr class="inherit_header pub_methods_class_s_p_h_1_1_interaction_dynamics_with_update"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1_interaction_dynamics_with_update')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1_interaction_dynamics_with_update.html">SPH::InteractionDynamicsWithUpdate</a></td></tr>
<tr class="memitem:a30961467ec3f269be0bf1ba5421563b4 inherit pub_methods_class_s_p_h_1_1_interaction_dynamics_with_update"><td class="memItemLeft" align="right" valign="top"><a id="a30961467ec3f269be0bf1ba5421563b4"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>InteractionDynamicsWithUpdate</b> (<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *sph_body)</td></tr>
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<tr class="inherit_header pub_methods_class_s_p_h_1_1_interaction_dynamics"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1_interaction_dynamics')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1_interaction_dynamics.html">SPH::InteractionDynamics</a></td></tr>
<tr class="memitem:a4e7bedd52e4b6a6c3423e13d2b799824 inherit pub_methods_class_s_p_h_1_1_interaction_dynamics"><td class="memItemLeft" align="right" valign="top"><a id="a4e7bedd52e4b6a6c3423e13d2b799824"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>InteractionDynamics</b> (<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *sph_body)</td></tr>
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<tr class="memitem:a79d1c47689c57d6f956032d4bd75cdc2 inherit pub_methods_class_s_p_h_1_1_particle_dynamics"><td class="memItemLeft" align="right" valign="top"><a id="a79d1c47689c57d6f956032d4bd75cdc2"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>ParticleDynamics</b> (<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *sph_body)</td></tr>
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<tr class="memitem:aab84153bd29b90450a14c68750af60d1 inherit pub_methods_class_s_p_h_1_1_particle_dynamics"><td class="memItemLeft" align="right" valign="top"><a id="aab84153bd29b90450a14c68750af60d1"></a>
<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *&#160;</td><td class="memItemRight" valign="bottom"><b>getSPHBody</b> ()</td></tr>
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<tr class="inherit_header pub_methods_class_s_p_h_1_1_data_delegate_inner"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1_data_delegate_inner')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1_data_delegate_inner.html">SPH::DataDelegateInner&lt; BodyType, ParticlesType, MaterialType, BaseDataDelegateType &gt;</a></td></tr>
<tr class="memitem:ade123f9f22da0b358283fe5f780e593a inherit pub_methods_class_s_p_h_1_1_data_delegate_inner"><td class="memItemLeft" align="right" valign="top"><a id="ade123f9f22da0b358283fe5f780e593a"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>DataDelegateInner</b> (<a class="el" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a> *body_inner_relation)</td></tr>
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<tr class="inherit_header pub_methods_class_s_p_h_1_1_data_delegate_simple"><td colspan="2" onclick="javascript:toggleInherit('pub_methods_class_s_p_h_1_1_data_delegate_simple')"><img src="closed.png" alt="-"/>&#160;Public Member Functions inherited from <a class="el" href="class_s_p_h_1_1_data_delegate_simple.html">SPH::DataDelegateSimple&lt; SPHBody, BaseParticles, BaseMaterial &gt;</a></td></tr>
<tr class="memitem:a8f9be49cf96804025fc7631790cc80d5 inherit pub_methods_class_s_p_h_1_1_data_delegate_simple"><td class="memItemLeft" align="right" valign="top"><a id="a8f9be49cf96804025fc7631790cc80d5"></a>
&#160;</td><td class="memItemRight" valign="bottom"><b>DataDelegateSimple</b> (<a class="el" href="class_s_p_h_1_1_s_p_h_body.html">SPHBody</a> *body)</td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-methods"></a>
Protected Member Functions</h2></td></tr>
<tr class="memitem:a156fb6baa3843f7053a683e439d6e9f6"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_shell_stress_relaxation_first_half.html#a156fb6baa3843f7053a683e439d6e9f6">Initialization</a> (<a class="el" href="classsize__t.html">size_t</a> index_i, Real dt=0.0) override</td></tr>
<tr class="separator:a156fb6baa3843f7053a683e439d6e9f6"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ac5f217f8fc20b2c1cb314987334fb613"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_s_p_h_1_1thin__structure__dynamics_1_1_shell_stress_relaxation_first_half.html#ac5f217f8fc20b2c1cb314987334fb613">Interaction</a> (<a class="el" href="classsize__t.html">size_t</a> index_i, Real dt=0.0) override</td></tr>
<tr class="separator:ac5f217f8fc20b2c1cb314987334fb613"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:acd30651fb1165862bb5b20246be8d45b"><td class="memItemLeft" align="right" valign="top"><a id="acd30651fb1165862bb5b20246be8d45b"></a>
virtual void&#160;</td><td class="memItemRight" valign="bottom"><b>Update</b> (<a class="el" href="classsize__t.html">size_t</a> index_i, Real dt=0.0) override</td></tr>
<tr class="separator:acd30651fb1165862bb5b20246be8d45b"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="inherit_header pro_methods_class_s_p_h_1_1_particle_dynamics"><td colspan="2" onclick="javascript:toggleInherit('pro_methods_class_s_p_h_1_1_particle_dynamics')"><img src="closed.png" alt="-"/>&#160;Protected Member Functions inherited from <a class="el" href="class_s_p_h_1_1_particle_dynamics.html">SPH::ParticleDynamics&lt; void &gt;</a></td></tr>
<tr class="memitem:a6c3ffa11bc0514cd9eb1537b79b4975c inherit pro_methods_class_s_p_h_1_1_particle_dynamics"><td class="memItemLeft" align="right" valign="top"><a id="a6c3ffa11bc0514cd9eb1537b79b4975c"></a>
void&#160;</td><td class="memItemRight" valign="bottom"><b>setBodyUpdated</b> ()</td></tr>
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<tr class="memitem:ab027ee6fb13881db2bc8277ef56d4b58 inherit pro_methods_class_s_p_h_1_1_particle_dynamics"><td class="memItemLeft" align="right" valign="top">virtual void&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="class_s_p_h_1_1_particle_dynamics.html#ab027ee6fb13881db2bc8277ef56d4b58">setupDynamics</a> (Real dt=0.0)</td></tr>
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</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pro-attribs"></a>
Protected Attributes</h2></td></tr>
<tr class="memitem:addd2250773e3df33e435d314ececa589"><td class="memItemLeft" align="right" valign="top"><a id="addd2250773e3df33e435d314ececa589"></a>
Real&#160;</td><td class="memItemRight" valign="bottom"><b>rho_0_</b></td></tr>
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<tr class="memitem:afdbcbeafe138e9ac69b628f2138a9934"><td class="memItemLeft" align="right" valign="top"><a id="afdbcbeafe138e9ac69b628f2138a9934"></a>
Real&#160;</td><td class="memItemRight" valign="bottom"><b>inv_rho_0_</b></td></tr>
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StdLargeVec&lt; Matd &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>stress_PK1_</b></td></tr>
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StdLargeVec&lt; Matd &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>corrected_stress_</b></td></tr>
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StdLargeVec&lt; Matd &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>corrected_moment_</b></td></tr>
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StdLargeVec&lt; Vecd &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>shear_stress_</b></td></tr>
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Real&#160;</td><td class="memItemRight" valign="bottom"><b>numerical_viscosity_</b></td></tr>
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const Real&#160;</td><td class="memItemRight" valign="bottom"><b>shear_correction_factor_</b> = 5.0/6.0</td></tr>
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const StdVec&lt; Real &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>three_gaussian_points_</b> = { 0.0, 0.77459667, -0.77459667 }</td></tr>
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const StdVec&lt; Real &gt;&#160;</td><td class="memItemRight" valign="bottom"><b>three_gaussian_weights_</b> = { 8.0 / 9.0, 5.0 / 9.0, 5.0 / 9.0 }</td></tr>
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StdLargeVec&lt; <a class="el" href="classsize__t.html">size_t</a> &gt; &amp;&#160;</td><td class="memItemRight" valign="bottom"><b>sorted_id_</b></td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="inherited"></a>
Additional Inherited Members</h2></td></tr>
<tr class="inherit_header pub_attribs_class_s_p_h_1_1_interaction_dynamics"><td colspan="2" onclick="javascript:toggleInherit('pub_attribs_class_s_p_h_1_1_interaction_dynamics')"><img src="closed.png" alt="-"/>&#160;Public Attributes inherited from <a class="el" href="class_s_p_h_1_1_interaction_dynamics.html">SPH::InteractionDynamics</a></td></tr>
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<tr class="inherit_header pub_static_attribs_class_s_p_h_1_1_global_static_variables"><td colspan="2" onclick="javascript:toggleInherit('pub_static_attribs_class_s_p_h_1_1_global_static_variables')"><img src="closed.png" alt="-"/>&#160;Static Public Attributes inherited from <a class="el" href="class_s_p_h_1_1_global_static_variables.html">SPH::GlobalStaticVariables</a></td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>computing stress relaxation process by verlet time stepping This is the first step </p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a7e2d061301a49751cac8e7a05848adb2">&#9670;&nbsp;</a></span>ShellStressRelaxationFirstHalf()</h2>

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          <td class="memname">SPH::thin_structure_dynamics::ShellStressRelaxationFirstHalf::ShellStressRelaxationFirstHalf </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="class_s_p_h_1_1_base_inner_body_relation.html">BaseInnerBodyRelation</a> *&#160;</td>
          <td class="paramname"><em>body_inner_relation</em>, </td>
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          <td class="paramtype"><a class="el" href="classint.html">int</a>&#160;</td>
          <td class="paramname"><em>number_of_gaussian_points</em> = <code>3</code>&#160;</td>
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<p>Note that, only three-point and five-point Gaussian quadrature rules are defined.</p>

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<h2 class="groupheader">Member Function Documentation</h2>
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<h2 class="memtitle"><span class="permalink"><a href="#a156fb6baa3843f7053a683e439d6e9f6">&#9670;&nbsp;</a></span>Initialization()</h2>

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          <td class="memname">void SPH::thin_structure_dynamics::ShellStressRelaxationFirstHalf::Initialization </td>
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          <td class="paramtype"><a class="el" href="classsize__t.html">size_t</a>&#160;</td>
          <td class="paramname"><em>index_i</em>, </td>
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          <td class="paramtype">Real&#160;</td>
          <td class="paramname"><em>dt</em> = <code>0.0</code>&#160;</td>
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<p>Initialize the local stress to 0.</p>
<p>Impose modeling assumptions.</p>
<p>Get the mid-surface stress to output the stress.</p>
<p>Only one (for 2D) or two (for 3D) angular momentum equations left.</p>
<p>stress and moment in global coordinates for pair interaction</p>

<p>Implements <a class="el" href="class_s_p_h_1_1_particle_dynamics1_level.html">SPH::ParticleDynamics1Level</a>.</p>

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<h2 class="memtitle"><span class="permalink"><a href="#ac5f217f8fc20b2c1cb314987334fb613">&#9670;&nbsp;</a></span>Interaction()</h2>

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          <td class="memname">void SPH::thin_structure_dynamics::ShellStressRelaxationFirstHalf::Interaction </td>
          <td>(</td>
          <td class="paramtype"><a class="el" href="classsize__t.html">size_t</a>&#160;</td>
          <td class="paramname"><em>index_i</em>, </td>
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          <td class="paramkey"></td>
          <td></td>
          <td class="paramtype">Real&#160;</td>
          <td class="paramname"><em>dt</em> = <code>0.0</code>&#160;</td>
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          <td>)</td>
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<p>including external force (body force) and force from fluid</p>
<p>the relation between pseudo-normal and rotations</p>

<p>Implements <a class="el" href="class_s_p_h_1_1_interaction_dynamics.html">SPH::InteractionDynamics</a>.</p>

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<hr/>The documentation for this class was generated from the following files:<ul>
<li>SPHINXsys/src/shared/particle_dynamics/solid_dynamics/<a class="el" href="thin__structure__dynamics_8h_source.html">thin_structure_dynamics.h</a></li>
<li>SPHINXsys/src/shared/particle_dynamics/solid_dynamics/<a class="el" href="thin__structure__dynamics_8cpp.html">thin_structure_dynamics.cpp</a></li>
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